Equations On Hangers

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Tags

CCSS.6.EE.A.2C

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Tags

CCSS.6.EE.A.2B

Front

What is the purpose of using hangers in equations?

Back

Hangers visually represent equations, helping to balance both sides to understand equality and solve for variables.

Tags

CCSS.6.EE.B.7

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning the expressions on either side of the equal sign are equivalent.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 4w + 3/2 = 17/2?

Back

The first step is to subtract 3/2 from both sides to isolate the term with the variable.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 5x = 35?

Back

The solution is x = 7, found by dividing both sides by 5.

Tags

CCSS.6.EE.B.7

Front

What does the equation 2z + 3 = 5 represent?

Back

This equation represents a relationship where twice a number z, plus 3, equals 5.

Tags

CCSS.7.EE.B.4A

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5